Question

How do I make a table from slope-intercept equation 4x+2y=4 showing X and Y

Answer 1

see the explanation

Explanation:

we have

`4x+2y=4` ----> equation of the line in standard form

Convert to slope intercept form

`y=mx+b`

Isolate the variable y

Subtract 4x both sides

`2y=-4x+4`

Divide by 2 both sides

`y=-2x+2`

To make a table assume different values of x and substitute in the equation to solve for y

For x=-2 ---->
`y=-2(-2)+2=6`

For x=-1 ---->
`y=-2(-1)+2=4`

For x=0 ---->
`y=-2(0)+2=2`

For x=1 ---->
`y=-2(1)+2=0`

For x=2 ---->
`y=-2(2)+2=-2`

The table is

`\left[\begin{array}{ccc}x&y\\-2&6\\-1&4\\0&2\\1&0\\2&-2\end{array}\right]`